W(w-4)(w+9)=0

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Solution for W(w-4)(w+9)=0 equation: 


Simplifying
W(w + -4)(w + 9) = 0

Reorder the terms:
W(-4 + w)(w + 9) = 0

Reorder the terms:
W(-4 + w)(9 + w) = 0

Multiply (-4 + w) * (9 + w)
W(-4(9 + w) + w(9 + w)) = 0
W((9 * -4 + w * -4) + w(9 + w)) = 0
W((-36 + -4w) + w(9 + w)) = 0
W(-36 + -4w + (9 * w + w * w)) = 0
W(-36 + -4w + (9w + w2)) = 0

Combine like terms: -4w + 9w = 5w
W(-36 + 5w + w2) = 0
(-36 * W + 5w * W + w2 * W) = 0
(-36W + 5wW + w2W) = 0

Solving
-36W + 5wW + w2W = 0

Solving for variable 'W'.

Move all terms containing W to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'W'.
W(-36 + 5w + w2) = 0

Factor a trinomial.
W((-9 + -1w)(4 + -1w)) = 0


Subproblem 1
Set the factor 'W' equal to zero and attempt to solve:

Simplifying
W = 0

Solving
W = 0

Move all terms containing W to the left, all other terms to the right.

Simplifying
W = 0

Subproblem 2
Set the factor '(-9 + -1w)' equal to zero and attempt to solve:

Simplifying
-9 + -1w = 0

Solving
-9 + -1w = 0

Move all terms containing W to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + -1w = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1w = 0 + 9
-1w = 0 + 9

Combine like terms: 0 + 9 = 9
-1w = 9

Add 'w' to each side of the equation.
-1w + w = 9 + w

Combine like terms: -1w + w = 0
0 = 9 + w

Simplifying
0 = 9 + w

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(4 + -1w)' equal to zero and attempt to solve:

Simplifying
4 + -1w = 0

Solving
4 + -1w = 0

Move all terms containing W to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1w = 0 + -4
-1w = 0 + -4

Combine like terms: 0 + -4 = -4
-1w = -4

Add 'w' to each side of the equation.
-1w + w = -4 + w

Combine like terms: -1w + w = 0
0 = -4 + w

Simplifying
0 = -4 + w

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
W = {0}

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